Atkin-Lehner |
2- 3+ 7- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
86814bb |
Isogeny class |
Conductor |
86814 |
Conductor |
∏ cp |
208 |
Product of Tamagawa factors cp |
deg |
552448 |
Modular degree for the optimal curve |
Δ |
-795247487483904 = -1 · 226 · 33 · 72 · 132 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-106334,-13388307] |
[a1,a2,a3,a4,a6] |
j |
-4924618276297821219/29453610647552 |
j-invariant |
L |
6.8714741150508 |
L(r)(E,1)/r! |
Ω |
0.13214373531856 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86814e1 |
Quadratic twists by: -3 |